<p>This paper aims to find a solution of a split feasibility problem with multiple output sets (in short, SFPMOS). First, we introduce a novel iterative method by employing the golden ratio-like technique, and then, we demonstrate that the sequence generated by this method converges weakly to a solution of the considered problem. Next, we introduce another method with a backward inertial step for solving the problem under consideration, and establish its weak convergence. To the best of the authors’ knowledge, this is the first instance where the SFPMOS is studied using the golden ratio-like technique. Finally, to conclude the study, we give an application of our proposed methods in signal recovery process. Also, the presented results are validated by executing several numerical examples.</p>